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Ratio tests for the convergence of integrals
Published online by Cambridge University Press: 31 October 2008
Extract
1. Ratio tests for the convergence or divergence of infinite series of positive terms are well known; they are used in and out of season. On the other hand, ratio tests for infinite integrals are never used. What is the reason for this disparity between series and integrals?
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1939
References
1 We need some condition to ensure that f(x) φ(x) is the integral of its differential coefficient; we have chosen the simplest.